{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Anomaly Detection Using RNN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Anomaly detection detects data points in data that does not fit well with the rest of data. In this notebook we demonstrate how to do unsupervised anomaly detection using recurrent nueral network (RNN) model.\n",
    "\n",
    "We used one of the dataset in Numenta Anomaly Benchmark (NAB) ([link](https://github.com/numenta/NAB)) for demo, i.e. NYC taxi passengers dataset, which contains 10320 records, each indicating the total number of taxi passengers in NYC at a corresonponding time spot. We use RNN to learn from 50 previous values, and predict just the 1 next value. The data points whose actual values are distant from predicted values are considered anomalies (distance threshold can be adjusted as needed).\n",
    "  \n",
    "References: \n",
    "* Unsupervised real-time anomaly detection for streaming data ([link](https://www.sciencedirect.com/science/article/pii/S0925231217309864))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intialization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* import necesary libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:17.874961Z",
     "start_time": "2020-04-08T03:26:17.858278Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "\n",
    "from zoo.common.nncontext import *\n",
    "sc = init_nncontext(\"Anomaly Detection Example\")\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib\n",
    "matplotlib.use('Agg')\n",
    "%pylab inline\n",
    "import seaborn\n",
    "import matplotlib.dates as md\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from sklearn import preprocessing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* import necessary modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:19.600450Z",
     "start_time": "2020-04-08T03:26:19.582282Z"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "from zoo.pipeline.api.keras.layers import Dense, Dropout, LSTM\n",
    "from zoo.pipeline.api.keras.models import Sequential"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Check"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* read data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:20.608854Z",
     "start_time": "2020-04-08T03:26:20.594253Z"
    }
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    dataset_path = os.getenv(\"ANALYTICS_ZOO_HOME\")+\"/bin/data/NAB/nyc_taxi/nyc_taxi.csv\"\n",
    "    df = pd.read_csv(dataset_path)\n",
    "except Exception as e:\n",
    "    print(\"nyc_taxi.csv doesn't exist\")\n",
    "    print(\"you can run $ANALYTICS_ZOO_HOME/bin/data/NAB/nyc_taxi/get_nyc_taxi.sh to download nyc_taxi.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Understand the data.\n",
    "\n",
    "Each record is in format of (timestamp, value). Timestamps range between 2014-07-01 and 2015-01-31. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:21.012761Z",
     "start_time": "2020-04-08T03:26:21.002577Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 10320 entries, 0 to 10319\n",
      "Data columns (total 2 columns):\n",
      " #   Column     Non-Null Count  Dtype \n",
      "---  ------     --------------  ----- \n",
      " 0   timestamp  10320 non-null  object\n",
      " 1   value      10320 non-null  int64 \n",
      "dtypes: int64(1), object(1)\n",
      "memory usage: 161.4+ KB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "print(df.info())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:21.199319Z",
     "start_time": "2020-04-08T03:26:21.195033Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0    2014-07-01 00:00:00\n",
      "1    2014-07-01 00:30:00\n",
      "2    2014-07-01 01:00:00\n",
      "3    2014-07-01 01:30:00\n",
      "4    2014-07-01 02:00:00\n",
      "5    2014-07-01 02:30:00\n",
      "6    2014-07-01 03:00:00\n",
      "7    2014-07-01 03:30:00\n",
      "8    2014-07-01 04:00:00\n",
      "9    2014-07-01 04:30:00\n",
      "Name: timestamp, dtype: object\n"
     ]
    }
   ],
   "source": [
    "# check the timestamp format and frequence \n",
    "print(df['timestamp'].head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:21.385768Z",
     "start_time": "2020-04-08T03:26:21.382149Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15137.569379844961\n"
     ]
    }
   ],
   "source": [
    "# check the mean of passenger number \n",
    "print(df['value'].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:21.805361Z",
     "start_time": "2020-04-08T03:26:21.632221Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# change the type of timestamp column for plotting\n",
    "df['datetime'] = pd.to_datetime(df['timestamp'])\n",
    "\n",
    "# visualisation of anomaly throughout time (viz 1)\n",
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "\n",
    "ax.plot(df['datetime'], df['value'], color='blue', linewidth=0.6)\n",
    "ax.set_title('NYC taxi passengers throughout time')\n",
    "\n",
    "plt.xlabel('datetime')\n",
    "plt.xticks(rotation=45) \n",
    "plt.ylabel('The Number of NYC taxi passengers')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature engineering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Extracting some useful features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:22.253314Z",
     "start_time": "2020-04-08T03:26:22.245858Z"
    }
   },
   "outputs": [],
   "source": [
    "# the hours when people are awake (6:00-00:00)\n",
    "df['hours'] = df['datetime'].dt.hour\n",
    "df['awake'] = (((df['hours'] >= 6) & (df['hours'] <= 23)) | (df['hours'] == 0)).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:22.602051Z",
     "start_time": "2020-04-08T03:26:22.451886Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# creation of 2 distinct categories that seem useful (sleeping time and awake time)\n",
    "df['categories'] = df['awake']\n",
    "\n",
    "a = df.loc[df['categories'] == 0, 'value']\n",
    "b = df.loc[df['categories'] == 1, 'value']\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "a_heights, a_bins = np.histogram(a)\n",
    "b_heights, b_bins = np.histogram(b, bins=a_bins)\n",
    "\n",
    "width = (a_bins[1] - a_bins[0])/6\n",
    "\n",
    "ax.bar(a_bins[:-1], a_heights*100/a.count(), width=width, facecolor='yellow', label='Sleeping time')\n",
    "ax.bar(b_bins[:-1]+width, (b_heights*100/b.count()), width=width, facecolor='red', label ='Awake time')\n",
    "ax.set_title('Histogram of NYC taxi passengers in different categories')\n",
    "\n",
    "plt.xlabel('The number of NYC taxi passengers')\n",
    "plt.ylabel('Record counts')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:22.675817Z",
     "start_time": "2020-04-08T03:26:22.672380Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1\n",
       "1    1\n",
       "2    0\n",
       "3    0\n",
       "Name: awake, dtype: int64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['awake'].head(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:22.888841Z",
     "start_time": "2020-04-08T03:26:22.884682Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    2014-07-01 00:00:00\n",
       "1    2014-07-01 00:30:00\n",
       "2    2014-07-01 01:00:00\n",
       "3    2014-07-01 01:30:00\n",
       "Name: timestamp, dtype: object"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['timestamp'].head(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above result, we can conclude:\n",
    "- more people take taxi when they are awake"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Preparation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Standardizing data and spliting them into the train data and the test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:23.793480Z",
     "start_time": "2020-04-08T03:26:23.781892Z"
    }
   },
   "outputs": [],
   "source": [
    "#select and standardize data\n",
    "data_n = df[['value', 'hours', 'awake']]\n",
    "standard_scaler = preprocessing.StandardScaler()\n",
    "np_scaled = standard_scaler.fit_transform(data_n)\n",
    "data_n = pd.DataFrame(np_scaled)\n",
    "\n",
    "#important parameters and train/test size\n",
    "prediction_time = 1 \n",
    "testdatasize = 1000\n",
    "unroll_length = 50\n",
    "testdatacut = testdatasize + unroll_length  + 1\n",
    "\n",
    "#train data\n",
    "x_train = data_n[0:-prediction_time-testdatacut].to_numpy()\n",
    "y_train = data_n[prediction_time:-testdatacut  ][0].to_numpy()\n",
    "\n",
    "#test data\n",
    "x_test = data_n[0-testdatacut:-prediction_time].to_numpy()\n",
    "y_test = data_n[prediction_time-testdatacut:  ][0].to_numpy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Unroll data: for the data point at index i, create a sequence from i to (i+unroll_length)\n",
    "\n",
    "for example, if unroll_length=5\n",
    "\n",
    "[[1]\n",
    "\n",
    " [2]\n",
    " \n",
    " [3]\n",
    " \n",
    " [4]\n",
    " \n",
    " [5]\n",
    " \n",
    " [6]\n",
    " \n",
    " [7]\n",
    " \n",
    " [8]\n",
    " \n",
    " [9]\n",
    " \n",
    " [10]\n",
    " \n",
    "...\n",
    "\n",
    "]\n",
    "\n",
    "will be unrolled to create following sequences\n",
    "\n",
    "[[ 1,  2,  3,  4,  5]\n",
    "\n",
    " [ 2,  3,  4,  5,  6]\n",
    " \n",
    " [ 3,  4,  5,  6,  7]\n",
    " \n",
    " [ 4,  5,  6,  7,  8]\n",
    "\n",
    " [ 5,  6,  7,  8,  9]\n",
    " \n",
    " [ 6,  7,  8,  9,  10]\n",
    " \n",
    " ...\n",
    " \n",
    " ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:24.269265Z",
     "start_time": "2020-04-08T03:26:24.247614Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x_train (9218, 50, 3)\n",
      "y_train (9218,)\n",
      "x_test (1000, 50, 3)\n",
      "y_test (1000,)\n"
     ]
    }
   ],
   "source": [
    "#unroll: create sequence of 50 previous data points for each data points\n",
    "def unroll(data,sequence_length=24):\n",
    "    result = []\n",
    "    for index in range(len(data) - sequence_length):\n",
    "        result.append(data[index: index + sequence_length])\n",
    "    return np.asarray(result)\n",
    "\n",
    "# adapt the datasets for the sequence data shape\n",
    "x_train = unroll(x_train,unroll_length)\n",
    "x_test  = unroll(x_test,unroll_length)\n",
    "y_train = y_train[-x_train.shape[0]:]\n",
    "y_test  = y_test[-x_test.shape[0]:]\n",
    "\n",
    "# see the shape\n",
    "print(\"x_train\", x_train.shape)\n",
    "print(\"y_train\", y_train.shape)\n",
    "print(\"x_test\", x_test.shape)\n",
    "print(\"y_test\", y_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Here we show an example of building a RNN network using Analytics Zoo Keras-Style API. \n",
    "There are three LSTM layers and one Dense layer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:26:25.928110Z",
     "start_time": "2020-04-08T03:26:24.917010Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "creating: createZooKerasSequential\n",
      "creating: createZooKerasLSTM\n",
      "creating: createZooKerasDropout\n",
      "creating: createZooKerasLSTM\n",
      "creating: createZooKerasDropout\n",
      "creating: createZooKerasDense\n",
      "creating: createRMSprop\n",
      "creating: createZooKerasMeanSquaredError\n"
     ]
    }
   ],
   "source": [
    "# Build the model\n",
    "model = Sequential()\n",
    "\n",
    "model.add(LSTM(\n",
    "    input_shape=(x_train.shape[1], x_train.shape[-1]),\n",
    "    output_dim=20,\n",
    "    return_sequences=True))\n",
    "model.add(Dropout(0.2))\n",
    "\n",
    "model.add(LSTM(\n",
    "    10,\n",
    "    return_sequences=False))\n",
    "model.add(Dropout(0.2))\n",
    "\n",
    "model.add(Dense(\n",
    "    output_dim=1))\n",
    "\n",
    "model.compile(loss='mse', optimizer='rmsprop')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:09.298137Z",
     "start_time": "2020-04-08T03:26:25.929316Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training begins.\n",
      "Training completed.\n",
      "CPU times: user 52.5 ms, sys: 16.1 ms, total: 68.6 ms\n",
      "Wall time: 43.4 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Train the model\n",
    "print(\"Training begins.\")\n",
    "model.fit(\n",
    "    x_train,\n",
    "    y_train,\n",
    "    batch_size=1024,\n",
    "    nb_epoch=20)\n",
    "print(\"Training completed.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction\n",
    "\n",
    "* BigDL models make inferences based on the given data using model.predict(val_rdd) API. A result of RDD is returned. predict_class returns the predicted points. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.070727Z",
     "start_time": "2020-04-08T03:27:09.299578Z"
    }
   },
   "outputs": [],
   "source": [
    "# create the list of difference between prediction and test data\n",
    "diff=[]\n",
    "ratio=[]\n",
    "predictions = model.predict(x_test)\n",
    "p = predictions.collect()\n",
    "for u in range(len(y_test)):\n",
    "    pr = p[u][0]\n",
    "    ratio.append((y_test[u]/pr)-1)\n",
    "    diff.append(abs(y_test[u]- pr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* plot the prediction and the reality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.205676Z",
     "start_time": "2020-04-08T03:27:10.072092Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the predicted values and actual values (for the test data)\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "axs.plot(p,color='red', label='predicted values')\n",
    "axs.plot(y_test,color='blue', label='actual values')\n",
    "axs.set_title('the predicted values and actual values (for the test data)')\n",
    "\n",
    "plt.xlabel('test data index')\n",
    "plt.ylabel('number of taxi passengers after scaling')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Set the distance thresold for anomalies. There're many ways to select this threshold. Here we set the expected proportion of anomalies among the entire set. Then we set the threshold as the minimum value of top N distances (here N is the total number of anomalies, i.e. anomaly fraction * total no. of samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.211625Z",
     "start_time": "2020-04-08T03:27:10.206823Z"
    }
   },
   "outputs": [],
   "source": [
    "# An estimation of anomly population of the dataset\n",
    "outliers_fraction = 0.01\n",
    "# select the most distant prediction/reality data points as anomalies\n",
    "diff = pd.Series(diff)\n",
    "number_of_outliers = int(outliers_fraction*len(diff))\n",
    "threshold = diff.nlargest(number_of_outliers).min()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* plot anomalies in the test data throughout time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.511090Z",
     "start_time": "2020-04-08T03:27:10.212648Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the difference and the threshold (for the test data)\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "axs.plot(diff,color='blue', label='diff')\n",
    "axs.set_title('the difference between the predicted values and actual values with the threshold line')\n",
    "\n",
    "plt.hlines(threshold, 0, 1000, color='red', label='threshold')\n",
    "plt.xlabel('test data index')\n",
    "plt.ylabel('difference value after scaling')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.532237Z",
     "start_time": "2020-04-08T03:27:10.512219Z"
    }
   },
   "outputs": [],
   "source": [
    "# data with anomaly label (test data part)\n",
    "test = (diff >= threshold).astype(int)\n",
    "# the training data part where we didn't predict anything (overfitting possible): no anomaly\n",
    "complement = pd.Series(0, index=np.arange(len(data_n)-testdatasize))\n",
    "last_train_data= (df['datetime'].tolist())[-testdatasize]\n",
    "# add the data to the main\n",
    "df['anomaly27'] = complement.append(test, ignore_index='True')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* plot anomalies in the test data throughout time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-08T03:27:10.834691Z",
     "start_time": "2020-04-08T03:27:10.533609Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualisation of anomaly throughout time (viz 1)\n",
    "fig, ax = plt.subplots(figsize=(12, 5))\n",
    "\n",
    "a = df.loc[df['anomaly27'] == 1, ['datetime', 'value']] #anomaly\n",
    "ax.plot(df['datetime'], df['value'], color='blue', label='no anomaly value', linewidth=0.6)\n",
    "ax.scatter(a['datetime'].tolist(),a['value'], color='red', label='anomalies value')\n",
    "ax.set_title('the number of nyc taxi value throughout time (with anomalies scattered)')\n",
    "\n",
    "max_value = df['value'].max()\n",
    "min_value = df['value'].min()\n",
    "plt.vlines(last_train_data, min_value, max_value, color='black', linestyles = \"dashed\", label='test begins')\n",
    "plt.xlabel('datetime')\n",
    "plt.xticks(rotation=45)\n",
    "plt.ylabel('the number of nyc taxi value')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
